Answer to Question #704 in Mechanics | Relativity for Brian
For the intercontinental ballistic missile to have a range of 6000 km, what must be the speed v0 of the missile at the end of the accelaration phase?
We know that maximal range is achieved when the angle of projection is equal to 45°.
Range, R = vo² * sin2α ÷ g ,
v0 = √ R*g ÷ sin2α =
√ 6000 km * 9.8 * 0.001 km/s² ÷ sin(2 * 45°) = 7.668 km/s